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Finding the Fourth Proportional to 8,181, 12,271.62 and 2,025

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Solution

The fourth proportional to 8,181, 12,271.62 and 2,025 is: 3,037.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,181 : 12,271.62 = 2,025 : x
  2. Step 2: Convert to fraction form
    8,181/12,271.62 = 2,025/x
  3. Step 3: Cross multiply
    8,181x = 12,271.62 × 2,025
  4. Step 4: Simplify right side
    8,181x = 24,850,030.50
  5. Step 5: Solve for x
    x = 24,850,030.50/8,181
  6. Step 6: Final answer
    x = 3,037.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.